In an AP, 7 times 7th term is equal to 8 times 8th term. Then its 15th termis ....

Sure, let's solve this step by step.

Given that in an Arithmetic Progression (AP), 7 times the 7th term is equal to 8 times the 8th term. This can be written as:

7 * (a + 6d) = 8 * (a + 7d)

where 'a' is the first term and 'd' is the common difference.

Solving this equation, we get:

7a + 42d = 8a + 56d

This simplifies to:

a = 14d

Now, we need to find the 15th term of the AP. The nth term of an AP is given by:

Tn = a + (n - 1) * d

Substituting n = 15, a = 14d in the above equation, we get:

T15 = 14d + (15 - 1) * d

This simplifies to:

T15 = 14d + 14d = 28d

So, the 15th term of the AP is 28 times the common difference. Without knowing the common difference, we cannot find the exact value of the 15th term.